Preferred Age Difference in a Mate 4.5 4.2 4 3.3 3.3 3 2.5 1 -1 -2 -1.9 -3 -2.8 -2.8 -4 -5 -4.5 Women Men -6 -7 -7.3 -8 Zambia Colombia Poland Italy United States Country Preferred Age Difference Years Younger Than Self Years Older Than Self

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In most societies, women say they prefer to marry men who are older than themselves, whereas men say they prefer women who are younger. The bar graph shows the preferred age difference in a mate in five selected countries. Use this information to solve; 

a. Consider a function, f, whose domain is the set of the five  countries shown in the graph. Let the range be the set of the average number of years women in each of the respective countries prefer men who are older than themselves. Write the function f as a set of ordered pairs. 

b. Write the relation that is the inverse of f as a set of ordered pairs. Based on these ordered pairs, is f a one-to-one function? Explain your answer.

Preferred Age Difference in a Mate
4.5
4.2
4
3.3
3.3
3
2.5
1
-1
-2
-1.9
-3
-2.8
-2.8
-4
-5
-4.5
Women
Men
-6
-7
-7.3
-8
Zambia Colombia
Poland
Italy
United
States
Country
Preferred Age Difference
Years Younger Than Self
Years Older Than Self
Transcribed Image Text:Preferred Age Difference in a Mate 4.5 4.2 4 3.3 3.3 3 2.5 1 -1 -2 -1.9 -3 -2.8 -2.8 -4 -5 -4.5 Women Men -6 -7 -7.3 -8 Zambia Colombia Poland Italy United States Country Preferred Age Difference Years Younger Than Self Years Older Than Self
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